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Finding the Fourth Proportional to 1,438.97, 2,157.33 and 1,323.65

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Solution

The fourth proportional to 1,438.97, 2,157.33 and 1,323.65 is: 1,984.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.97 : 2,157.33 = 1,323.65 : x
  2. Step 2: Convert to fraction form
    1,438.97/2,157.33 = 1,323.65/x
  3. Step 3: Cross multiply
    1,438.97x = 2,157.33 × 1,323.65
  4. Step 4: Simplify right side
    1,438.97x = 2,855,549.85
  5. Step 5: Solve for x
    x = 2,855,549.85/1,438.97
  6. Step 6: Final answer
    x = 1,984.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.